Analytic Solutions of the Schamel-KdV Equation by Using Different Methods: Application to a Dusty Space Plasma
<p>The wave properties in a dusty space plasma consisting of positively and negatively charged dust as well as distributed nonisothermal electrons are investigated by using the exact traveling wave solutions of the Schamel-KdV equation. The analytic solutions are obtained by the different ty...
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Suleyman Demirel University
2016-12-01
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Online Access: | http://dergipark.ulakbim.gov.tr/sdufenbed/article/view/5000201453 |
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doaj-ef7daa42c93f438a8b29b9aad3c137602020-11-24T22:17:22ZengSuleyman Demirel UniversitySüleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi1308-65292016-12-0121120821510.19113/sdufbed.047245000171901Analytic Solutions of the Schamel-KdV Equation by Using Different Methods: Application to a Dusty Space PlasmaOrhan DÖNMEZ0Durmuş DAĞHANAmerican University of The Middle East (AUM), Egaila, Kuwait<p>The wave properties in a dusty space plasma consisting of positively and negatively charged dust as well as distributed nonisothermal electrons are investigated by using the exact traveling wave solutions of the Schamel-KdV equation. The analytic solutions are obtained by the different types $(G'/G)$-expansion methods and direct integration. The nonlinear dynamics of ion-acoustic waves for the various values of phase speed $V_p$, plasma parameters $\alpha$, $\sigma$, and $\sigma_d$, and the source term $\mu$ are studied. We have observed different types of waves from the different analytic solutions obtained from the different methods. Consequently, we have found the discontinuity, shock or solitary waves. It is also concluded that these parameters play an important role in the presence of solitary waves inside the plasma. Depending on plasma parameters, the discontinuity wave turns into solitary wave solution for the certain values of the phase speed and plasma parameters. Additionally, exact solutions of the Schamel-KdV equation may also be used to understand the wave types and properties in the different plasma systems.</p>http://dergipark.ulakbim.gov.tr/sdufenbed/article/view/5000201453Schamel-KdV equationDusty space plasma, Shock wave, Soliton |
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DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Orhan DÖNMEZ Durmuş DAĞHAN |
spellingShingle |
Orhan DÖNMEZ Durmuş DAĞHAN Analytic Solutions of the Schamel-KdV Equation by Using Different Methods: Application to a Dusty Space Plasma Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi Schamel-KdV equation Dusty space plasma, Shock wave, Soliton |
author_facet |
Orhan DÖNMEZ Durmuş DAĞHAN |
author_sort |
Orhan DÖNMEZ |
title |
Analytic Solutions of the Schamel-KdV Equation by Using Different Methods: Application to a Dusty Space Plasma |
title_short |
Analytic Solutions of the Schamel-KdV Equation by Using Different Methods: Application to a Dusty Space Plasma |
title_full |
Analytic Solutions of the Schamel-KdV Equation by Using Different Methods: Application to a Dusty Space Plasma |
title_fullStr |
Analytic Solutions of the Schamel-KdV Equation by Using Different Methods: Application to a Dusty Space Plasma |
title_full_unstemmed |
Analytic Solutions of the Schamel-KdV Equation by Using Different Methods: Application to a Dusty Space Plasma |
title_sort |
analytic solutions of the schamel-kdv equation by using different methods: application to a dusty space plasma |
publisher |
Suleyman Demirel University |
series |
Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
issn |
1308-6529 |
publishDate |
2016-12-01 |
description |
<p>The wave properties in a dusty space plasma consisting of positively and negatively charged dust as well as distributed nonisothermal electrons are investigated by using the exact traveling wave solutions of the Schamel-KdV equation. The analytic solutions are obtained by the different types $(G'/G)$-expansion methods and direct integration. The nonlinear dynamics of ion-acoustic waves for the various values of phase speed $V_p$, plasma parameters $\alpha$, $\sigma$, and $\sigma_d$, and the source term $\mu$ are studied. We have observed different types of waves from the different analytic solutions obtained from the different methods. Consequently, we have found the discontinuity, shock or solitary waves. It is also concluded that these parameters play an important role in the presence of solitary waves inside the plasma. Depending on plasma parameters, the discontinuity wave turns into solitary wave solution for the certain values of the phase speed and plasma parameters. Additionally, exact solutions of the Schamel-KdV equation may also be used to understand the wave types and properties in the different plasma systems.</p> |
topic |
Schamel-KdV equation Dusty space plasma, Shock wave, Soliton |
url |
http://dergipark.ulakbim.gov.tr/sdufenbed/article/view/5000201453 |
work_keys_str_mv |
AT orhandonmez analyticsolutionsoftheschamelkdvequationbyusingdifferentmethodsapplicationtoadustyspaceplasma AT durmusdaghan analyticsolutionsoftheschamelkdvequationbyusingdifferentmethodsapplicationtoadustyspaceplasma |
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